Abstract
This paper reviews analytical solutions that have been developed recently for the theoretical modelling of the classical problem dealing with advective transport of a chemical species in a fluid-saturated porous medium. The advective Darcy flow results from a hydraulic potential, which is responsible for the transport process. The analytical solutions play an important role in providing benchmarks against which the accuracy of computational developments can be assessed. The paper provides a catalogue of solutions that involve advective transport dealing with initial boundary value problems and certain advective–diffusive transport problems that can be formulated as one-dimensional initial value problems.
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